Abstract

By solving the ($3+1$)-dimensional free-space Schrödinger equation in circular cylindrical coordinates, we have systematically analyzed the propagation of chirped Airy-circular (CAiCi) wave packets. The complex amplitude of the CAiCi wave packets is constructed by the Airy function, the Gaussian function, and the confluent hypergeometric function. We find that the CAiCi wave packets are some coaxial ring pulses stacked along the temporal domain in the initial position, which are modulated by the chirped factor, the initial velocity, the distribution factor, and the propagation distance. Meanwhile, the wave packets will appear to undergo intensity attenuation, diffusion, convergence, and so on. We can also modulate the shape of the wave packets and change their optical properties by altering the mode numbers. Furthermore, we analyze the evolution properties of the wave packets in detail from the aspects of the gradient force, the scattering force, phase, the Poynting vector, and the angular momentum, and find some interesting phenomena.

© 2018 Optical Society of America

Three-dimensional localized Airy–Cartesian and Airy–helical–Cartesian wave packets in free space

Zhengzhong Huang and Dongmei Deng
J. Opt. Soc. Am. A 35(4) 536-545 (2018)

Three-dimensional localized Airy-Gaussian wave packets in a gradient-index medium

Zhanhong Li, Yangyang Gong, Zhengzhong Huang, Dongmei Deng, Rong Hu, and Shangyou Chen
J. Opt. Soc. Am. A 36(8) 1385-1394 (2019)

Three-dimensional localized Airy-Laguerre-Gaussian wave packets in free space

Wei-Ping Zhong, Milivoj Belić, and Yiqi Zhang
Opt. Express 23(18) 23867-23876 (2015)

Three-dimensional localized Airy-Hermite-Gaussian and Airy-Helical-Hermite-Gaussian wave packets in free space

Fu Deng and Dongmei Deng
Opt. Express 24(5) 5478-5486 (2016)

Three-dimensional localized Airy elegant Laguerre–Gaussian light bullets in free space

Jiafan Wu, Fuqiang Huang, Yuqi Chen, Lang Cheng, Lefeng Li, and Dongmei Deng
J. Opt. Soc. Am. B 34(4) 808-813 (2017)